Multiple Linear Regression - Estimated Regression Equation
Y[t] = + 135.698 + 1.88117X[t] + 0.148422t + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)135.6987.6288817.793.92073e-511.96036e-51
X1.881170.087056921.618.17959e-674.0898e-67
t0.1484220.01577019.4126.16153e-193.08077e-19


Multiple Linear Regression - Regression Statistics
Multiple R0.775074
R-squared0.600739
Adjusted R-squared0.598502
F-TEST (value)268.576
F-TEST (DF numerator)2
F-TEST (DF denominator)357
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation31.0593
Sum Squared Residuals344390


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
1255300.035-45.0351
2280.2300.184-19.9836
3299.9299.975-0.0745514
4339.2299.80339.3968
5374.2301.21272.988
6393.5307.24886.2515
7389.2307.3481.8595
8381.7306.75574.9448
9375.2305.49369.7072
10369304.49464.5063
11357.4303.64553.7549
12352.1302.68449.4164
13346.5301.42145.0789
14342.9301.09941.8007
15340.3300.45839.8424
16328.3299.89128.4088
17322.9299.36223.5376
18314.3298.87115.4288
19308.9298.41810.4823
20294297.945-3.94529
21285.6296.72-11.1205
22281.2294.781-13.5808
23280.3293.274-12.9738
24278.8291.993-13.1925
25274.5290.805-16.3053
26270.4287.906-17.5062
27263.4270.39-6.99046
28259.9269.222-9.32207
29258271.797-13.7972
30262.7279.263-16.5634
31284.7282.8921.80804
32311.3286.78424.5161
33322.1294.04328.0568
34327297.01329.9867
35331.3299.55131.7492
36333.3301.12932.1711
37321.4301.5619.8405
38327299.84627.1544
39320298.80921.1911
40314.7304.24310.4566
41316.7302.24714.4527
42314.4300.13814.2617
43321.3298.89522.4053
44318.2297.38820.8123
45307.2295.84311.357
46301.3293.9037.39665
47287.5291.926-4.42605
48277.7297.323-19.6229
49274.4296.644-22.2436
50258.8294.93-36.1297
51253.3293.536-40.2356
52251292.33-41.3296
53248.4291.011-42.6107
54249.5289.353-39.8532
55246.1287.714-41.6145
56244.5285.963-41.4629
57243.6284.268-40.6678
58244291.546-47.5458
59240.8296.266-55.4655
60249.8294.928-45.1278
61248292.894-44.8941
62259.4291.218-31.8178
63260.5297.687-37.1869
64260.8297.722-36.9225
65261.3295.896-34.5957
66259.5293.937-34.4372
67256.6292.393-35.7925
68257.9290.453-32.5529
69256.5288.852-32.3518
70254.2300.212-46.012
71253.3297.238-43.9377
72253.8294.376-40.5762
73255.5292.173-36.6732
74257.1289.951-32.8513
75257.3287.353-30.0532
76253.2290.681-37.4808
77252.8290.171-37.3709
78252287.704-35.7044
79250.7285.294-34.5945
80252.2282.621-30.4211
81250287.661-37.6606
82251288.787-37.7872
83253.4288.24-34.8396
84251.2285.642-34.4415
85255.6285.169-29.5692
86261.1282.628-21.5275
87258.9281.008-22.1076
88259.9281.1-21.1996
89261.2280.608-19.4085
90264.7279.534-14.8341
91267.1276.691-9.59148
92266.4279.643-13.2428
93267.7280.807-13.1071
94268.6278.284-9.68426
95267.5277.003-9.50299
96268.5278.6-10.0999
97268.5276.039-7.53945
98270.5272.915-2.41464
99270.9275.753-4.85314
100270.1269.9010.199374
101269.3264.8014.49942
102269.8268.1091.69063
103270.1264.4585.64217
104264.9261.4463.45411
105263.7265.018-1.31804
106264.8261.6493.15133
107263.7267.967-4.26733
108255.9268.078-12.1781
109276.2278.742-2.54229
110360.1296.98863.1124
111380.5324.75255.7484
112373.7327.55246.1476
113369.8329.58240.218
114366.6327.77438.826
115359.3324.91334.3874
116345.8322.14523.6548
117326.2318.9087.29249
118324.5316.8367.66385
119328.1318.969.1402
120327.5315.74111.7591
121324.4312.89811.5017
122316.5310.3756.12455
123310.9307.6463.25432
124301.5305.066-3.56641
125291.7302.487-10.7871
126290.4300.209-9.80885
127287.4297.893-10.4929
128277.7295.859-18.1592
129281.6294.051-12.4512
130288297.003-9.00257
131276300.255-24.2549
132272.9298.541-25.641
133283298.915-15.9152
134283.3302.675-19.3754
135276.8299.626-22.8259
136284.5301.317-16.8168
137282.7300.224-17.5237
138281.2297.249-16.0494
139287.4294.614-7.21365
140283.1292.053-8.95319
141284289.417-5.41748
142285.5292.143-6.64311
143289.2300.437-11.237
144292.5297.895-5.39534
145296.4298.175-1.77545
146305.2292.62412.5761
147303.9291.09812.8019
148311.5303.3998.10111
149316.3300.36815.9319
150316.7302.05914.6409
151322.5301.21121.2895
152317.1298.53718.5628
153309.8295.7714.0302
154303.8295.2228.57782
155290.3296.33-6.03
156293.7293.4120.287889
157291.7290.2681.43151
158296.5287.0319.4692
159289.1290.904-1.80394
160288.5295.191-6.69094
161293.8292.161.63982
162297.7289.288.42008
163305.4286.62518.7746
164302.7283.95218.7479
165302.5295.9336.56695
166303294.5398.46109
167294.5292.0352.46512
168294.1289.384.71964
169294.5287.1217.37912
170297.1285.10611.994
171289.4287.5871.81297
172292.4294.621-2.22054
173287.9292.587-4.6868
174286.6290.553-3.95307
175280.5288.613-8.11339
176272.4286.561-14.1608
177269.2283.888-14.6875
178270.6287.366-16.7656
179267.3286.367-19.0665
180262.5284.126-21.6258
181266.8284.274-17.4743
182268.8277.349-8.54949
183263.1273.999-10.8989
184261.2272.906-11.7058
185266271.831-5.83145
186262.5270.738-8.2383
187265.2263.7381.46172
188261.3257.5853.71522
189253.7256.68-2.97974
190249.2255.775-6.57471
191239.1254.907-15.8073
192236.4254.002-17.6023
193235.2253.21-18.0101
194245.2252.456-7.25557
195246.2251.72-5.51984
196247.7256.778-9.07811
197251.4257.547-6.14732
198253.3256.379-3.07892
199254.8255.587-0.786761
200250267.605-17.6054
201249.3266.719-17.4191
202241.5265.833-24.3329
203243.3265.455-22.1546
204248264.117-16.1169
205253263.381-10.3812
206252.9276.416-23.5156
207251.5313.529-62.029
208251.6311.476-59.8765
209253.5310.045-56.5447
210259.8311.999-52.1991
211334.1309.7424.3604
212448346.759101.241
213445.8373.6272.18
214445378.67866.3217
215448.2378.31969.8812
216438.2370.79267.408
217439.8367.23572.5655
218423.4365.6957.7101
219410.8361.92548.8745
220408.4360.60747.7934
221406.7366.45540.245
222405.9360.24545.655
223402.7356.70645.9936
224405.1349.9755.1303
225399.6347.35352.2472
226386.5341.38745.1126
227381.4341.76239.6384
228375.2341.74133.4593
229357.7330.01927.6811
230359335.05823.9416
231355334.3620.6397
232352.7328.97823.7219
233344.4330.53713.8626
234343.8328.50415.2963
235338333.7314.26877
236339363.583-24.5833
237333.3367.362-34.0624
238334.4372.27-37.8702
239328.3372.494-44.1939
240330.7358.044-27.3444
241330349.144-19.1444
242331.6385.016-53.4162
243351.2467.729-116.529
244389.4449.16-59.76
245410.9495.416-84.5159
246442.8495.677-52.8772
247462.8422.00840.7915
248466.9409.57257.3281
249461.7400.61561.0846
250439.2389.98549.2152
251430.3380.78449.5162
252416.1394.79621.3036
253402.5394.5317.96902
254397.3407.885-10.5852
255403.3379.70323.5968
256395.9383.01212.888
257387.8361.54626.2542
258378.6358.74119.8592
259377.1360.75216.3484
260370.4358.58611.8139
261362342.89519.1049
262350.3339.95810.3416
263348.2350.322-2.12158
264344.6352.502-7.90167
265343.5350.355-6.85506
266342.8345.029-2.22928
267347.6347.3790.221328
268346.6344.7431.85704
269349.5341.8257.67492
270342.1342.0860.0136308
271342331.00410.9958
272342.8326.35616.4444
273339.3318.60320.6968
274348.2318.69529.5049
275333.7335.473-1.7731
276334.7358.628-23.9282
277354341.37612.6242
278367.7331.94935.7509
279363.3334.14829.152
280358.4326.45231.9481
281353.1324.43728.663
282343.1314.44628.6541
283344.6313.99230.6076
284344.4306.63537.7651
285333.9305.20328.6968
286331.7307.49624.2039
287324.3310.10914.1911
288321.2307.39813.8021
289322.4301.43320.9675
290321.7289.65432.0456
291320.5290.19830.3022
292312.8296.36616.434
293309.7303.875.83022
294315.6283.96531.6351
295309.7283.3826.3203
296304.6284.69419.9056
297302.5286.53615.9641
298301.5275.66125.8393
299298.8281.43417.3662
300291.3279.83311.4673
301293.6283.9889.61195
302294.6281.37113.2288
303285.9291.245-5.34523
304297.6297.1690.431159
305301.1286.14314.9569
306293.8281.41912.3807
307297.7268.56929.1312
308292.9265.25627.6441
309292.1275.61916.4809
310287.2275.76811.4325
311288.2282.2375.96334
312283.8268.97214.8277
313299.9277.05922.8407
314292.4274.61217.7883
315293.3268.70324.5972
316300.8273.74227.0578
317293.7276.73116.9688
318293.1270.42722.6728
319294.4278.06316.3373
320292.1272.69919.4007
321291.9273.73218.1681
322282.5271.60410.8959
323277.9273.3144.58613
324287.5276.26511.2348
325289.2288.4160.78448
326285.6289.091-3.49067
327293.2293.754-0.5539
328290.8290.0840.716453
329283.1293.204-10.1042
330275303.549-28.5486
331287.8287.839-0.0387394
332287.8289.831-2.03071
333287.4302.771-15.3711
334284300.756-16.7562
335277.8316.349-38.549
336277.6334.613-57.0131
337304.9336.21-31.31
338294362.093-68.0928
339300.9388.484-87.5836
340324374.617-50.6173
341332.9369.348-36.4479
342341.6356.61-15.0103
343333.4338.304-4.90448
344348.2338.349.85996
345344.7329.53415.1659
346344.7348.062-3.36154
347329.3355.283-25.9832
348323.5355.563-32.0633
349323.2384.512-61.3124
350317.4366.959-49.559
351330.1355.726-25.6264
352329.2358.076-28.8757
353334.9351.697-16.7965
354315.8338.696-22.8956
355315.4341.177-25.7766
356319.6352.857-33.2566
357317.3346.026-28.7259
358313.8343.503-29.7031
359315.8366.564-50.7641
360311.3381.348-70.0481


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
60.01690540.03381080.983095
70.06297080.1259420.937029
80.2468440.4936870.753156
90.4251580.8503150.574842
100.467770.9355390.53223
110.461060.9221210.53894
120.4003730.8007460.599627
130.3211750.642350.678825
140.2523580.5047150.747642
150.1908320.3816640.809168
160.1470320.2940640.852968
170.1102820.2205650.889718
180.08381730.1676350.916183
190.06230530.1246110.937695
200.05352940.1070590.946471
210.03909310.07818610.960907
220.02603840.05207680.973962
230.02077030.04154060.97923
240.01945760.03891530.980542
250.01847460.03694930.981525
260.0309150.061830.969085
270.5894770.8210470.410523
280.6617030.6765930.338297
290.6360120.7279760.363988
300.5817760.8364470.418224
310.5362040.9275930.463796
320.5235090.9529830.476491
330.4822020.9644040.517798
340.4372930.8745860.562707
350.3938150.787630.606185
360.3531910.7063830.646809
370.321050.64210.67895
380.2828690.5657370.717131
390.2467920.4935840.753208
400.2364210.4728420.763579
410.2092720.4185450.790728
420.1799860.3599720.820014
430.1538560.3077120.846144
440.1306160.2612330.869384
450.1082070.2164150.891793
460.08844050.1768810.911559
470.07258520.145170.927415
480.07767040.1553410.92233
490.08022850.1604570.919772
500.0951270.1902540.904873
510.1081910.2163830.891809
520.1145330.2290650.885467
530.1151220.2302440.884878
540.1058380.2116770.894162
550.09503810.1900760.904962
560.08247990.164960.91752
570.06972930.1394590.930271
580.06812850.1362570.931871
590.08235960.1647190.91764
600.07805790.1561160.921942
610.07045850.1409170.929542
620.058640.117280.94136
630.05087370.1017470.949126
640.04347810.08695630.956522
650.03597080.07194160.964029
660.02956290.05912580.970437
670.02435960.04871920.97564
680.02045140.04090290.979549
690.01754680.03509360.982453
700.01621570.03243140.983784
710.01391080.02782170.986089
720.01154750.0230950.988453
730.009717580.01943520.990282
740.008650690.01730140.991349
750.008408990.0168180.991591
760.007236810.01447360.992763
770.006306090.01261220.993694
780.005824960.01164990.994175
790.005756690.01151340.994243
800.006463290.01292660.993537
810.005907360.01181470.994093
820.005338940.01067790.994661
830.004991990.009983990.995008
840.004957360.009914710.995043
850.005284790.01056960.994715
860.006912270.01382450.993088
870.008990870.01798170.991009
880.0113570.02271390.988643
890.01442550.02885110.985574
900.01959080.03918150.980409
910.02953030.05906050.97047
920.03636720.07273440.963633
930.04256460.08512930.957435
940.05263770.1052750.947362
950.06369480.127390.936305
960.0726310.1452620.927369
970.08522790.1704560.914772
980.1055340.2110670.894466
990.1192450.238490.880755
1000.1425370.2850750.857463
1010.1727190.3454370.827281
1020.1916550.383310.808345
1030.2137960.4275920.786204
1040.2259730.4519470.774027
1050.2277160.4554320.772284
1060.2314740.4629480.768526
1070.2265660.4531320.773434
1080.2150990.4301980.784901
1090.2165610.4331230.783439
1100.4657680.9315360.534232
1110.6049060.7901880.395094
1120.6424380.7151240.357562
1130.645830.708340.35417
1140.6421690.7156610.357831
1150.6305060.7389870.369494
1160.6063260.7873480.393674
1170.5756530.8486940.424347
1180.5442040.9115920.455796
1190.5127470.9745050.487253
1200.481990.9639790.51801
1210.4518670.9037340.548133
1220.4206840.8413680.579316
1230.3899020.7798050.610098
1240.3603120.7206240.639688
1250.3341530.6683060.665847
1260.3079940.6159870.692006
1270.2830090.5660190.716991
1280.262960.525920.73704
1290.2408890.4817780.759111
1300.2189580.4379170.781042
1310.2084560.4169120.791544
1320.1989430.3978870.801057
1330.1823230.3646460.817677
1340.1696550.339310.830345
1350.1594160.3188320.840584
1360.1461090.2922180.853891
1370.1339050.267810.866095
1380.1217660.2435320.878234
1390.1094620.2189240.890538
1400.09863070.1972610.901369
1410.0895610.1791220.910439
1420.08033930.1606790.919661
1430.07136740.1427350.928633
1440.06291780.1258360.937082
1450.05536720.1107340.944633
1460.05309530.1061910.946905
1470.05122630.1024530.948774
1480.04491120.08982240.955089
1490.04143810.08287630.958562
1500.03737190.07474380.962628
1510.03546590.07093190.964534
1520.03327630.06655260.966724
1530.03051050.0610210.969489
1540.02700130.05400250.972999
1550.02307120.04614240.976929
1560.01982340.03964680.980177
1570.01723390.03446770.982766
1580.0158820.03176390.984118
1590.01355250.02710510.986447
1600.01143130.02286270.988569
1610.009710830.01942170.990289
1620.008607080.01721420.991393
1630.008538620.01707720.991461
1640.008596820.01719360.991403
1650.007181820.01436360.992818
1660.006051380.01210280.993949
1670.00502050.0100410.99498
1680.004223790.008447590.995776
1690.003628780.007257550.996371
1700.003253380.006506760.996747
1710.002690790.005381590.997309
1720.00216850.0043370.997831
1730.001754450.00350890.998246
1740.001417460.002834930.998583
1750.001158050.002316090.998842
1760.0009765710.001953140.999023
1770.0008285340.001657070.999171
1780.0007166230.001433250.999283
1790.0006356810.001271360.999364
1800.0005817470.001163490.999418
1810.0005137550.001027510.999486
1820.0004421250.000884250.999558
1830.0003894580.0007789150.999611
1840.0003468820.0006937650.999653
1850.0003098280.0006196570.99969
1860.0002788430.0005576870.999721
1870.0002742140.0005484290.999726
1880.0002889610.0005779220.999711
1890.0002873880.0005747770.999713
1900.000282950.0005658990.999717
1910.0002873830.0005747660.999713
1920.0003022590.0006045190.999698
1930.0003279850.0006559690.999672
1940.0003446990.0006893980.999655
1950.0003663050.0007326090.999634
1960.0003865320.0007730630.999613
1970.0004074940.0008149890.999593
1980.0004351590.0008703170.999565
1990.0004716560.0009433130.999528
2000.0005833520.00116670.999417
2010.0007580950.001516190.999242
2020.001206120.002412240.998794
2030.00196970.00393940.99803
2040.00309010.006180210.99691
2050.004737940.009475890.995262
2060.009379370.01875870.990621
2070.05913470.1182690.940865
2080.2309790.4619580.769021
2090.5553730.8892540.444627
2100.8545050.2909890.145495
2110.8682070.2635850.131793
2120.9470870.1058260.0529129
2130.9588970.0822070.0411035
2140.9654940.06901160.0345058
2150.9738750.05225030.0261251
2160.979090.04181980.0209099
2170.985560.02888060.0144403
2180.9865590.02688170.0134408
2190.9857090.02858270.0142914
2200.9847280.03054320.0152716
2210.9831640.03367160.0168358
2220.982020.03596060.0179803
2230.9808210.0383580.019179
2240.9818910.03621810.0181091
2250.982170.03566070.0178304
2260.980480.03904010.0195201
2270.977660.04467960.0223398
2280.9736230.05275330.0263767
2290.9684060.06318860.0315943
2300.9624080.07518470.0375924
2310.955840.08831910.0441596
2320.9480760.1038470.0519237
2330.9416790.1166410.0583207
2340.9342270.1315460.0657729
2350.9324070.1351850.0675927
2360.9593510.08129770.0406489
2370.9824410.03511740.0175587
2380.993930.01214060.00607028
2390.9986560.002688260.00134413
2400.9994560.001088680.000544342
2410.9997280.0005432310.000271616
2420.999984.08746e-052.04373e-05
24312.27547e-091.13774e-09
24411.14459e-105.72295e-11
24515.31491e-132.65746e-13
24611.03286e-135.16431e-14
24714.40191e-142.20095e-14
24812.36051e-151.18026e-15
24913.75838e-171.87919e-17
25013.19459e-181.5973e-18
25112.20149e-191.10075e-19
25212.03653e-191.01827e-19
25313.99344e-191.99672e-19
25418.58406e-194.29203e-19
25518.1173e-194.05865e-19
25611.32678e-186.63392e-19
25711.43283e-187.16417e-19
25812.3791e-181.18955e-18
25914.27003e-182.13502e-18
26019.10155e-184.55077e-18
26111.83165e-179.15827e-18
26214.21577e-172.10789e-17
26318.21195e-174.10597e-17
26411.24403e-166.22014e-17
26511.8442e-169.221e-17
26613.04537e-161.52268e-16
26715.80447e-162.90224e-16
26811.11689e-155.58444e-16
26912.41933e-151.20967e-15
27014.05669e-152.02834e-15
27118.35967e-154.17983e-15
27211.79134e-148.9567e-15
27313.7667e-141.88335e-14
27416.60523e-143.30262e-14
27519.38527e-144.69263e-14
27613.42551e-141.71276e-14
27717.56238e-143.78119e-14
27817.37601e-143.68801e-14
27919.39154e-144.69577e-14
28011.01917e-135.09587e-14
28111.26858e-136.34289e-14
28211.80876e-139.0438e-14
28312.01927e-131.00963e-13
28411.28165e-136.40825e-14
28511.59108e-137.95542e-14
28612.22554e-131.11277e-13
28714.48277e-132.24138e-13
28819.18498e-134.59249e-13
28911.49949e-127.49745e-13
29011.58383e-127.91917e-13
29111.64049e-128.20243e-13
29213.01021e-121.50511e-12
29316.52381e-123.2619e-12
29416.17942e-123.08971e-12
29518.084e-124.042e-12
29611.38295e-116.91474e-12
29712.57475e-111.28738e-11
29813.95856e-111.97928e-11
29917.39423e-113.69711e-11
30011.63043e-108.15215e-11
30113.51317e-101.75659e-10
30217.18606e-103.59303e-10
30311.46225e-097.31123e-10
30413.07006e-091.53503e-09
30515.17269e-092.58634e-09
30611.02785e-085.13923e-09
30711.47307e-087.36535e-09
30812.45372e-081.22686e-08
30914.60878e-082.30439e-08
31019.44542e-084.72271e-08
31111.92959e-079.64793e-08
31213.90877e-071.95438e-07
31315.39082e-072.69541e-07
31419.52148e-074.76074e-07
3150.9999991.52708e-067.63541e-07
3160.9999991.74729e-068.73647e-07
3170.9999992.817e-061.4085e-06
3180.9999984.29939e-062.1497e-06
3190.9999976.55313e-063.27656e-06
3200.9999951.01911e-055.09556e-06
3210.9999921.57864e-057.89322e-06
3220.9999853.00317e-051.50158e-05
3230.9999715.70177e-052.85089e-05
3240.9999490.0001019685.09838e-05
3250.9999090.0001829769.1488e-05
3260.9998340.000332630.000166315
3270.9997170.0005657070.000282854
3280.9995140.0009721050.000486053
3290.9991740.001651320.000825662
3300.9989980.002003450.00100173
3310.9982950.003410670.00170534
3320.9972070.005585720.00279286
3330.9959680.00806330.00403165
3340.9955920.008815370.00440768
3350.9985320.002936750.00146838
3360.9999430.0001143965.7198e-05
3370.9999872.64785e-051.32392e-05
33813.22832e-071.61416e-07
33917.5816e-093.7908e-09
34015.9505e-092.97525e-09
34111.65229e-088.26147e-09
34217.64059e-083.8203e-08
34311.41229e-077.06147e-08
34414.11581e-072.0579e-07
3450.9999991.35224e-066.76122e-07
3460.9999991.06387e-065.31934e-07
3470.9999975.51363e-062.75681e-06
3480.9999892.14754e-051.07377e-05
3490.9999598.27075e-054.13537e-05
3500.999991.98272e-059.9136e-06
3510.999940.0001203646.01822e-05
3520.999670.0006606350.000330318
3530.9998880.0002245460.000112273
3540.9990290.001941030.000970515


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level1560.446991NOK
5% type I error level2100.601719NOK
10% type I error level2340.670487NOK